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RSB [31]
3 years ago
11

What is the value of the expression 8−2 ? 64 116 164 −16

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0

Any number to the power of a negative integer will be 1 over that number with the absolute value of the power, so it looks like this:

x^{-2} = \frac{-1}{x^{2}}

Therefore, you just need to 8² which is 64, and then do 1 over that (1/64) because it's a negative power.

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Let X denote the number of bars of service on your cell phone whenever you are at an intersection with the following probabiliti
lorasvet [3.4K]

Answer:

Step-by-step explanation:

Hello!

Given the variable

X: number of bars of service on your cell phone.

The posible values of this variable are {0, 1, 2, 3, 4, 5}

a. F(X) is the cummulative distribution function P(X≤x₀) you can calculate it by adding all the point probabilities for each value:

X: 0; 1; 2; 3; 4; 5

P(X): 0.15; 0.25; 0.25; 0.15; 0.1; 0.1

F(X): 0.15; 0.4; 0.65; 0.8; 0.9; 1

The maximum cumulative probability of any F(X) is 1, knowing this, you can calculate the probability of X=5 as: 1 - F(4)= 1 - 0.9= 0.1

b.

The mean of the sample is:

E(X)= ∑Xi*Pi= (0*0.15)+(1*0.25)+(2*0.25)+(3*0.15)+(4*0.1)+(5*0.1)

E(X)= 2.1

V(X)= E(X²)-(E(X))²

V(X)= ∑Xi²*Pi- (∑Xi*Pi)²= 6.7- (2.1)²= 2.29

∑Xi²*Pi= (0²*0.15)+(1²*0.25)+(2²*0.25)+(3²*0.15)+(4²*0.1)+(5²*0.1)= 6.7

c.

P(X<2)

You can read this expression as the probability of having less than 2 bars of service. This means you can have either one or zero service bars, you can rewrite it as:

P(X<2)= P(X≤1)= F(1)= 0.4

d.

P(X≤3.5)

This expression means "the probability of having at most (or less or equal to) 3.5 service bars", this variable doesn't have the value 3.5 in its definition range so you have to look for the accumulated probability until the lesser whole number. This expression includes the probabilities of X=0, X=1, X=2, and X=3, you can express it as the accumulated probability until 3, F(3):

P(X≤3.5)= P(X≤3)= F(3)= 0.80

I hope it helps!

5 0
3 years ago
In the sahara desert one day it was 146 degrees F .in the Gobi desert the temperature of - 54 degrees f was recorded what is the
ankoles [38]

Answer:

200

146- (-54)= 200

or use a number line

7 0
3 years ago
You spin a spinner and flip a coin find the probability of the compound event the probability of spinning an even number and fli
Anastaziya [24]

Answer: their is 50 percent that it will land on heads

Step-by-step explanation: it will have a completely random chance no matter how many times you flip a coin on tails it will always have a fifty percent chance even if you flipped the coin 1000000 and it landed on tails all those times it would still have the fifty fifty probability of landing on heads hope this has helped and good question  

3 0
3 years ago
What is the solution to the proportion 3/m=12/15
qaws [65]
B 3.75 it is simple it is easy 
6 0
3 years ago
Read 2 more answers
5X+17=7 PLEASE HELP FAST<br><br> WITH STEP FAST
katen-ka-za [31]

Answer:

x=-2

Step-by-step explanation:

5x+17=7

5x=-10

x=-2

3 0
3 years ago
Read 2 more answers
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